If a and b are positive integers and $\displaystyle (a^{1/2}b^{1/3})^6=432$, what is the value of ab?

Can you please show steps?

Thanks in advance

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thank you. so the final answer should be 4x3=12

I have a question from your earlier post:

how did you get from $\displaystyle a^\frac{1}{2}b^\frac{1}{3}=432 $ to $\displaystyle a^3b^2 = 432$?? and also what about the 6 from [a^(1/2)b^(1/3)]^6? How about the 6 here? Thanks again!!

- Sep 26th 2008, 08:51 AM #8
yes

I have a question from your earlier post:

how did you get from $\displaystyle a^\frac{1}{2}b^\frac{1}{3}=432 $ to $\displaystyle a^3b^2 = 432$?? and also what about the 6 from [a^(1/2)b^(1/3)]^6? How about the 6 here? Thanks again!!

that is, we can distribute the power and multiply them when we raise a number to a power to another power